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Finding the Fourth Proportional to 9,460.53, 14,175.18 and 5,751.54

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Solution

The fourth proportional to 9,460.53, 14,175.18 and 5,751.54 is: 8,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.53 : 14,175.18 = 5,751.54 : x
  2. Step 2: Convert to fraction form
    9,460.53/14,175.18 = 5,751.54/x
  3. Step 3: Cross multiply
    9,460.53x = 14,175.18 × 5,751.54
  4. Step 4: Simplify right side
    9,460.53x = 81,529,114.78
  5. Step 5: Solve for x
    x = 81,529,114.78/9,460.53
  6. Step 6: Final answer
    x = 8,617.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.